Answer:
11 < √131 < 12
Step-by-step explanation:
121 and 144 are perfect squares.
11² = 121
12² = 144
√131 = 11.445523
√131 lies between 11 and 12, which are consecutive integers.
Find square root of the following numbers by long division method
1).2025
Answer:
Hope this helps. Good luck
Step-by-step explanation:
which expression is not a polynomial?
Answer
A
Step-by-step explanation:
a polynomial only consist of multiplication, addition, and subtraction, and no division
Answer:
A
Step-by-step explanation:
Enter the correct answer in the box. Solve the quadratic equation by completing the square.
2x2 + 12x = 66
Fill in the values of a and b to complete the solutions.
X=a-sqrt b
X=a+sqrt b
Therefore, the values of a and b in the solutions X = a - √(b) and X = a + √(b) are: a = -3 and b = 21.
What is equation?An equation is a mathematical statement that asserts the equality of two expressions, usually containing variables and constants. In other words, an equation is a statement that indicates that two things are equivalent or equal. Equations can be expressed in different forms, such as linear equations, quadratic equations, and systems of equations. They are used to model various real-world phenomena and solve problems in science, engineering, finance, and other fields. Equations are fundamental to mathematics and play a crucial role in many areas of research and development.
Here,
To solve the quadratic equation by completing the square, we first need to rearrange the equation so that the constant term is on the right-hand side:
2x² + 12x = 66
2x² + 12x - 66 = 0
Now we can factor out the coefficient of x²:
2(x² + 6x - 33) = 0
Next, we need to complete the square. To do this, we need to add and subtract (b/2a)² inside the parentheses, where b is the coefficient of x and a is the coefficient of x²:
2(x² + 6x + 9 - 9 - 33) = 0
2((x + 3)² - 42) = 0
Simplifying this equation gives:
(x + 3)² = 21
Taking the square root of both sides, we get:
x + 3 = ±√(21)
Subtracting 3 from both sides, we obtain the final solutions:
x = -3 ±√(21)
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7x+8y=−46 2y − 6=0 What is the solution (x,y) to the system of equations above?
Answer:
(-10, 3)
Step-by-step explanation:
You can do it algebraically (substitution or elimination) or graphically. I will be using substitution to solve this.
Step 1: Rewrite 2nd equation
2y = 6
y = 3
Step 2: Plug in y
7x + 8(3) = -46
7x + 24 = -46
7x = -70
x = -10
Put it in coordinates and we have our final answer!
Please help :( will mark brainliest!!
Answer:
Median = 3.5
Step-by-step explanation:
Median is the middlemost number.
Here, there are two middlemost numbers, 5 and 2
So, we'll take the mean of them to find out the median
Median = 5+2/2
Median = 7/2
Median = 3.5
PLZZZZZZZZZ HLPPPPPPPP MEEEEEEEEEEE
which of the following is made up of one base and a vertex not in the same plane as the base? check all that apply
a. cone
b. prism
c. cylinder
d. pyramid
Answer:
a. cone. Since it's the only shape with one base and a vertex not on the same plane
Given the function f(x) = –0.5|2x + 2| + 1, for what values of x is f(x) = 6? x = 6, x = –5 x = 5, x = –5 x = 7, x = –6 no solution
Answer:
Step-by-step explanation:
This is our absolute function for which we are tasked with finding the values of x that make the whole thing equal 6:
-.5 | 2x + 2 | + 1 = 6. Subtracting 1 from both sides gives us
-.5 | 2x + 2 | = 5. Dividing both sides by -.5 gives us
| 2x + 2 | = -10.
Because absolute value is in fact a distance measure, and one of the 2 things in math that will NEVER be negative is distance, there is no solution to this equation.
Answer:
no solution
Step-by-step explanation:
This is our absolute function for which we are tasked with finding the values of x that make the whole thing equal 6:
-.5 | 2x + 2 | + 1 = 6. Subtracting 1 from both sides gives us
-.5 | 2x + 2 | = 5. Dividing both sides by -.5 gives us
| 2x + 2 | = -10.
Because absolute value is in fact a distance measure, and one of the 2 things in math that will NEVER be negative
If there are 350 boys in a school with a total of 800 students, then what percent of the students are girls?
Answer:
56.25%
Step-by-step explanation:
800 - 350 = 450
1% of 800 = 8 (800 divided by 100)
450 divided by 8 = 56.25
Answer:
56.25% are girls
Step-by-step explanation:
Given there are 350 boys out of a total of 800, then
number of girls = 800 - 350 = 450 , thus percentage of girls is
[tex]\frac{450}{800}[/tex] × 100%
= [tex]\frac{450(100)}{800}[/tex] = 56.25%
Can someone please help me with this
Answer:
I'm pretty sure the correct answer is
D. None of the choices are correct
Step-by-step explanation:
The most likely answer would be AHL ~ NKG, it all depends on the order you put it in. However that is not one of the options so the answer is D.
Hope this helps!
- Quinn <3
find the nTH term of this sequence: 1, 7, 13, 19
Answer:
This sequence is an arithmetic sequence
For an nth term in an arithmetic sequence
U(n) = a + (n - 1 )d
a = first term
d = common difference
n = number of terms
From this sequence 1, 7, 13, 19
a = 1
d = 7-1 = 6
Therefore the nth term of the sequence is
U(n) = 1 + (n-1)6
= 1 + 6n - 6
= 6n - 5
The nth term of the sequence is 6n - 5
Hope this helps
Answer:
Brainleist!
Step-by-step explanation:
see picture
What value correctly fills in the blank so that the expressions are equivalent?
32 + 72 = х (4+ 9)
4
8
12
13
Answer:
8
Step-by-step explanation:
32 + 72 = 13x
104 = 13x
x = 8
Answer:
8
Step-by-step explanation:
32+72=x(4+9)
32+72=x(13)
104=13x
x=8
If three parallel lines intersect two transversals, then the segments intercepted on the transversals are proportional.
True
False
Answer:true
Step-by-step explanation:
Set up a proportion do so for X in the following similar triangles
Answer:
x = 64
Step-by-step explanation:
The triangles are similar, so we'll set up a proportion:
=> [tex]\frac{2}{15} =\frac{8}{x-4}[/tex]
Cross Multiplying
=> 2(x-4) = 15 x 8
=> 2x-8 = 120
=> 2x = 120+8
=> 2x = 128
Dividing both sides by 2
=> x = 64
Okay so the picture is probably missing a 1 from "12" (because i took this quiz already) and im pretty sure the random generator doesn't give you a question like this
answer: 12/8 = 15/x-4
A pile of sand weighs 90kg. the sand is put into a small bag, a medium bag and a large bag in the ratio 2: 3: 7. work out the weight of each sand bag Please help!
Answer:
the first bag is 15 ,the second bag is 22.5 and the third bag is 52.5
Step-by-step explanation:
you take the ratios and add them together 2+3+7=12. then you take 2/12×90=15,3/12×90=22.5,7/12×90=52.5 I think I tried
The line shown below are parallel if the green line has a slope of -4 where is the slope of the redline
Answer:
-4
Step-by-step explanation:
Parallel lines have the same slope
If the green line has a slope of -4, then the red line has a slope of -4
Answer: 4
Step-by-step explanation:
Given that R equals 2x plus 2y find y when x equals 9 and R equals 29 give your answer as an improper fraction in its simplest form
Find the volume of this square
based pyramid.
10 in
12 in
[ ? ]
Answer:
480 in.^3
Step-by-step explanation:
volume of pyramid = (1/3) * (area of base) * height
Since this pyramid has a square for the base, the area of the base is
A = s^2, where s = length of the side of the square
volume = (1/3) * s^2 * h
volume = (1/3)(12 in.)^2 * (10 in.)
volume = (1/3)(144)(10) in.^3
volume = 480 in.^3
The volume of the square-based pyramid is 480 cubic inches as per the concept of the pyramid.
To find the volume of a square-based pyramid, we can use the formula:
Volume = (1/3) x base area x height.
In this case, the base of the pyramid is a square with a side length of 12 inches, and the height of the pyramid is 10 inches.
First, we calculate the base area of the pyramid, which is the area of the square base:
Base area = side length x side length
= 12 in x 12 in
= 144 square inches.
Now, we can substitute the values into the volume formula:
[tex]Volume = \frac{1}{3} \times 144 \times 10[/tex].
Multiplying these values, we get:
[tex]Volume = \frac{1}{3} \times1440 {in}^3[/tex]
Simplifying the expression, we have:
[tex]Volume = 480\ in^3[/tex].
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Victoria is working two summer jobs, making $6 per hour walking dogs and $11 per hour clearing tables. Victoria must earn at least $150 this week. Write an inequality that would represent the possible values for the number of hours clearing tables, c, that Victoria can work in a given week.
Answer:
c=13/14
Step-by-step explanation:
150/11=13 R7
14 because she still needs $7
or 13 because she can work 2hrs walking dogs
Answer:6d+11c_>150
Step-by-step explanation:
Question 9 - (3 marks available)
By rounding to 1 significant figure, estimate the answers to these questions:
a) 17 * 82
b) 54 x 671
c) 207 x 643
Answer: a) 1,600
b) 35,000
c) 120,000
Step-by-step explanation:
First, round each number to one significant digit (the first digit).
Then multiply them.
a) 17 --> rounds to 20
82 --> rounds to 80
20 x 80 = 2 x 8 with two zeros
= 1 6 0 0
b) 54 --> rounds to 50
671 --> rounds to 700
50 x 700 = 5 x 7 with three zeros
= 3 5 0 0 0
c) 207 --> rounds to 200
643 --> rounds to 600
200 x 600 = 2 x 6 with four zeros
= 1 2 0 0 0 0
ANSWER ASAP FOR BRANINETEST
Answer:
2 3/5
Step-by-step explanation:
Simply change the 1st fraction into improper form:
17/5 - 4/5
Then subtract
13/5
Then write into mixed fraction
2 3/5
Answer:
13/5 or 2 3/5
Step-by-step explanation:
During a 14-day period, there is the following activity on your bank account. You deposit $100, withdraw $75, deposit $85, and withdraw $150. What is the rate of change in dollars per day) in your bank account? Round your answer to the nearest cent.
5.
The total length of 2 pieces of rope is
108cm. If one piece is 18cm shorter, what is
the length of the longer piece?
Answer:
63 cm
Step-by-step explanation:
piece 1: x
piece 2: x - 18
First you would subtract 2x - 18 = 108
Second you would add 108 + 18 = 2x
Third you would divide 126 divided by 2x = 63
So that would mean x = 63
Answer:
63cm
Step-by-step explanation:
2 pieces of rope, and one is shorter by 18cm.
piece 1: x
piece 2: x-18
Add the equations together, combine both pieces
2x-18
2x-18 = 108
108+18 = 2x
126 = 2x
x = 63
What is the area of the triangle given below? 2 and 6
Answer:
6 sq. units
Step-by-step explanation:
The area of a triangle is base times height divided by 2.
[tex]\frac{bh}{2}[/tex]
[tex]\frac{6 \times 2}{2}[/tex]
[tex]\frac{12}{2} =6[/tex]
Answer:
D. 6
Step-by-step explanation:
The formula for the area of a triangle is A=1/2bh. In this case, the base is 6 and the height is 2. The work is below:
A=1/2bh
A=1/2(6)(2)
A=1/2(12)
A=6
Hope this helps!!! PLZ MARK BRAINLIEST!!!
Situation:
Find the age of the skull to the nearest year,
A hiker in Africa discovers a skull that
contains 54% of its original amount of C-
14.
Enter the correct answer.
DONE
N- Noe
-kt
No - inital amount of C-14 (at time
t-0)
N-amount of C-14 at timet
k - 0.0001
t-time, in years
Answer:
t = 6162 years
Step-by-step explanation:
Apparently you are asked to use the constant k = 0.0001 instead of the most common 0.00012. We'll answer the problem using such number you typed, but make sure that there is no omission in your typing.
The equation to use is that for carbon decay:
[tex]N(t)=N_0\,e^{-0.0001\,\,t}[/tex]
If the skull contains 54% of its original amount of C14, then that means that :
[tex]N(t)=0.54 \,\,N_0[/tex]
we use this to solve for the time (t) in our equation:
[tex]0.54\,\,N_0=N_0\,e^{-0.0001\,\,t}\\\frac{0.54\,\,N_0}{N_0}=e^{-0.0001\,\,t}\\0.54=e^{-0.0001\,\,t}\\ln(0.54)=-0.0001\,\,t\\t=\frac{ln(0.54)}{-0.0001} \\t=6161.86\,\,years[/tex]
which rounded to the nearest year as requested gives :
t = 6162 years
Answer:
The guy on top is correct so thank u so much!! the answer is 6162
Step-by-step explanation:
I did the test
Prove that an equilateral triangle can be constructed on any given line segment
Step-by-step explanation:
Answer is in the photo with diagram
N(x) = -3(x - 2)2 + 60,
Plot the axis of symmetry and the vertex for this function
Answer:
Step-by-step explanation:
factorise x^2-6 need help for my hegarty maths
you can't factorize it in rational numbers
Which of the following is an arithmetic sequence?
2, 4, 8, 16, ...
-8, -6, -4, -2, ...
-2, 4, -6, 8, ...
Answer:-8, -6, -4, -2 ...
Step-by-step explanation:
An arithmetic sequence consists numbers being added or subtracted in a specific pattern. 2, 4, 8, 16 is multiplying not adding. -2, 4, -6, 8 is not in a specific pattern. Hope this helped :)
An arithmetic sequence is a sequence in which the same number is repeatedly added is called an arithmetic sequence.
So in order for a sequence to be arithmetic, the difference between consecutive terms must remain constant.
Let's look at the second pattern.
Notice that each time, we add 2 to reach the next term.
The other sequences don't have a common difference.
Which equation is an example of the commutative property of multiplication?
O (4 + 21) = (21 + 4)
O (4 + 21)(3-51) = (3-51)(4 + 21)
(4 + 21(3-51) = (4 + 21)(3-51(1)
(4 + 21) = (4 + 21 + 0)
Answer:
the answer is (4 + 21)(3-51) = (3-51)(4+ 21)
The equation is an example of the commutative property of multiplication is 4 + 21)(3-51) = (3-51)(4 + 21).
What is Commutative Property?The commutative property is a mathematical statement that states that the order in which numbers are multiplied has no effect on the product.
According to the commutative property of multiplication, if we multiply two integers, the result will remain the same even if the positions of the integers are swapped.
Let A and B be the two integers, then;
A × B = B × A
As, we know commutative Property supports multiplication and Addition.
First, (4 + 21) = (21 + 4)
This is Commutative Property of Addition.
Second, (4 + 21)(3-51) = (3-51)(4 + 21)
This is Commutative Property of Multiplication
Third, (4 + 21(3-51) = (4 + 21)(3-51(1)
No property can be applied.
Fourth, (4 + 21) = (4 + 21 + 0)
This is expansion.
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6x + 1 ≥ 13 can u please solve this please i am stuck on it
Answer:
x ≥ 2
Step-by-step explanation:
Step 1: Isolate x
6x ≥ 12
Step 2: Divide both sides by 6
x ≥ 2
And we have our answer!
Answer:
x ≥ 2
Step-by-step explanation:
6x+1 ≥ 13
Subtracting both sides by 1
6x ≥ 13-1
6x ≥ 12
Dividing both sides by 6
=> x ≥ 2
